Stuff I find beautiful and/or useful

Disclaimer: this site is work in progress and I am learning from the following materials.

Two purposes for this site: 1. Personal reference dispatcher; 2. Passer-by's accidental reference.

Integrated methods for operations research (OR)

The motivation comes from a project to solve a combined truck-drone delivvery optimization problem, termed as TSP with a drone (TSPD).

The PhD thesis by SCIP creator Tobias Achterberg

Integrated methods for optimization by John Hooker

Decision diagrams for optimization by Bergman, Cire, van Hoeve and Hooker

More detailed references coming up soon...

High dimensional geometry

My curiosity mainly comes from this beautiful survey on KLS conjecture by Lee and Vempala. To parse the survey, I find the following the following beautifl materials:

An elementry introduction to modern convex geometry by Keith Ball

The original localization paper by Kannan, Lovász and Simonovits

Eldan's stochastic localization paper used a random reweighting of the original density using Brownian motion, so that a Gaussian term will pop out in expectation

Lee & Vempala adopted Eldan's construction to obtain the current state-of-the-art

Last two papers require knowledge about stochastic calculus, which can be found in Lee & Vempala.

Reinforcement learning (RL)

The motivation comes from a project to use RL to plan the speed for automatic driving.

David Silver's beautiful course

OpenAI's spinningup tutorial and many references therein